9. The table below has a 2 = 53.168. What is its Cramer’s V? Race of Respondent
ID: 3222547 • Letter: 9
Question
9. The table below has a 2 = 53.168. What is its Cramer’s V?
Race of Respondent * Region of the United States Crosstabulation
Count
Region of the United States
Total
North East
South East
West
Race ofRespondent
White
582
307
375
1264
Black
82
94
28
204
Other
15
14
20
49
Total
679
415
423
1517
a. 0.187
b. 0.366
c. 0.132
d. 0.236
10. Is the association between "race of the respondent" and "region of the United States" strong, moderate, or weak?
a. Weak
b. Moderate
c. Strong
Race of Respondent * Region of the United States Crosstabulation
Count
Region of the United States
Total
North East
South East
West
Race ofRespondent
White
582
307
375
1264
Black
82
94
28
204
Other
15
14
20
49
Total
679
415
423
1517
Explanation / Answer
9) Here n = 1517
r = k = 3
r is no of rows while k is no of columns
Cramer's =sqrt( X2/ n / min(r-1,k-1) ) = sqrt( 53.168 / (1517*2)) = 0.132
Hence, C is the correct answer
2) Since Cramer's V value is 0.132 which is small and closer to 0, the degree of association is weak.
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